Übung
$\frac{3x^4-2x^3+x^2-10}{x^3+2}$
Schritt-für-Schritt-Lösung
1
Teilen Sie $3x^4-2x^3+x^2-10$ durch $x^3+2$
$\begin{array}{l}\phantom{\phantom{;}x^{3}+2;}{\phantom{;}3x\phantom{;}-2\phantom{;}\phantom{;}}\\\phantom{;}x^{3}+2\overline{\smash{)}\phantom{;}3x^{4}-2x^{3}+x^{2}\phantom{-;x^n}-10\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{3}+2;}\underline{-3x^{4}\phantom{-;x^n}\phantom{-;x^n}-6x\phantom{;}\phantom{-;x^n}}\\\phantom{-3x^{4}-6x\phantom{;};}-2x^{3}+x^{2}-6x\phantom{;}-10\phantom{;}\phantom{;}\\\phantom{\phantom{;}x^{3}+2-;x^n;}\underline{\phantom{;}2x^{3}\phantom{-;x^n}\phantom{-;x^n}+4\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}2x^{3}+4\phantom{;}\phantom{;}-;x^n;}\phantom{;}x^{2}-6x\phantom{;}-6\phantom{;}\phantom{;}\\\end{array}$
$3x-2+\frac{x^{2}-6x-6}{x^3+2}$
Endgültige Antwort auf das Problem
$3x-2+\frac{x^{2}-6x-6}{x^3+2}$